Asymptotic zero distribution for a class of multiple orthogonal polynomials

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dc.creatorCoussement, E.
dc.creatorCoussement, J.
dc.creatorVan Assche, W.
dc.date2006-06-19
dc.date.accessioned2026-07-07T07:17:25Z
dc.date.available2026-07-07T07:17:25Z
dc.descriptionWe establish the asymptotic zero distribution for polynomials generated by a four-term recurrence relation with varying recurrence coefficients having a particular limiting behavior. The proof is based on ratio asymptotics for these polynomials. We can apply this result to three examples of multiple orthogonal polynomials, in particular Jacobi-Pineiro, Laguerre I and the example associated with Macdonald functions. We also discuss an application to Toeplitz matrices.
dc.description18 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0606440
dc.identifierhttp://arxiv.org/abs/math/0606440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113936
dc.subjectClassical Analysis and ODEs
dc.subjectSpectral Theory
dc.subject33C45; 42C05; 15A18
dc.titleAsymptotic zero distribution for a class of multiple orthogonal polynomials
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